GCD of 461, 966, 989 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 461, 966, 989 i.e. 1 largest integer that divides all the numbers equally.

GCD of 461, 966, 989 is 1

GCD(461, 966, 989) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 461, 966, 989 is 1

GCD(461, 966, 989) = 1

GCD of 461,966,989 Calculator

GCDof 461,966,989 is 1

Given Input numbers are 461, 966, 989

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Greatest Common Divisior

We found the divisors of 461, 966, 989 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 461, 966, 989 is 1.

Therefore, GCD of numbers 461, 966, 989 is 1

Finding GCD of 461, 966, 989 using Prime Factorization

Given Input Data is 461, 966, 989

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 461 is 461

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 989 is 23 x 43

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 461, 966, 989 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(461, 966) = 445326

GCD(461, 966) = ( 461 x 966 ) / 445326

GCD(461, 966) = 445326 / 445326

GCD(461, 966) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 989

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 989) = 989

GCD(1, 989) = ( 1 x 989 ) / 989

GCD(1, 989) = 989 / 989

GCD(1, 989) = 1

GCD of 461, 966, 989 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 461, 966, 989

1. What is the GCD of 461, 966, 989?

GCD of 461, 966, 989 is 1


2. Where do I get the detailed procedure to find GCD of 461, 966, 989?

You can find a detailed procedure to find GCD of 461, 966, 989 on our page.


3. How to find GCD of 461, 966, 989 on a calculator?

You can find the GCD of 461, 966, 989 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.